A new lower bound via projection for the quadratic assignment problem

A new lower bound via projection for the quadratic assignment problem

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Article ID: iaor1993697
Country: United States
Volume: 17
Issue: 3
Start Page Number: 726
End Page Number: 739
Publication Date: Aug 1992
Journal: Mathematics of Operations Research
Authors: , ,
Keywords: programming: quadratic
Abstract:

New lower bounds for the quadratic assignment problem QAP are presented. These bounds are based on the orthogonal relaxation of QAP. The additional improvement is obtained by making efficient use of a tractable representation of orthogonal matrices having constant row and column sums. The new bound is easy to implement and often provides high quality bounds under an acceptable computational effort.

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